(5) If L is context free, then L¬L must also be context free. True O False
(5) If L is context free, then L¬L must also be context free. True O False
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![**Question:**
(5) If \( L \) is context free, then \( L \cap \lnot L \) must also be context free.
- [ ] True
- [ ] False
**Explanation:**
This question tests the understanding of closure properties of context-free languages. Context-free languages are not closed under the complementation operation. Therefore, \( \lnot L \) may not be context-free, and the intersection of a context-free language \( L \) with a non-context-free language \(\lnot L\) is not guaranteed to be context-free. Consider carefully whether the statement is true or false based on these closure properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3dbb91f-777d-47b2-aa94-40b3e17142a5%2F7409d857-4157-4295-877c-4280c78cf975%2F6ru0rgm_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
(5) If \( L \) is context free, then \( L \cap \lnot L \) must also be context free.
- [ ] True
- [ ] False
**Explanation:**
This question tests the understanding of closure properties of context-free languages. Context-free languages are not closed under the complementation operation. Therefore, \( \lnot L \) may not be context-free, and the intersection of a context-free language \( L \) with a non-context-free language \(\lnot L\) is not guaranteed to be context-free. Consider carefully whether the statement is true or false based on these closure properties.
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